10. Observe the given figures and show that ^ADB is congruent to ^DEF
Answers
Answer:
∆PRQ ≈ ∆DEF By SAS Congruence Rule
Step-by-step explanation:
S PQ=DF =3.5 cm
A PQR=DFE = 80°
S QR=FE = 2 cm
Answer:
ΔPQR ≅ΔDEF by S-A-S rule
Step-by-step explanation:
In ΔDEF,
∠D =35° ,∠E =65°
As we know that sum of all the angles of a triangle =180°
So, ∠D +∠E +∠F =180°
35° + 65° + ∠F = 180°
100° + ∠F=180°
∠F = 180° - 100°
∠F = 80°
In Δ PQR and ΔDEF,
PQ = DE = 3.5 cm.
QR = EF = 2 cm.
∠Q = ∠F = 80°
So Δ PQR≅ ΔDEF ( by S-A-S congruency rule)
S-A-S Rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle , then the triangles are congruent.